In free space, three identical particles moving with velocities `v_(0)hat(i), - 3v_(0)hat(j)` and `5v_(0)hat(k)` collide successively with each other to form a single particle. Find velocity vector of the particle formed.

Three identical particles with velocities v_0hati , -3v_0hatj and 5v_0hatk collide successively with each other in such a way that they form a single particle. The velocity vector of resultant particle is

Three identical particles with velocities v_0hati , -3v_0hatj and 5v_0hatk collide successively with each other in such a way that they form a single particle. The velocity vector of resultant particle is

A particle is moving with speed 6m/s along the direction of 2hat(i)+2hat(j)-hat(k) find the velocity vector of a particle ?

A magnetic field vec(B)=-B_(0)hat(i) exists within a sphere of radius R=v_(0)Tsqrt(3) where T is the time period of one revolution of a charged particle starting its motion form origin and moving with a velocity vce(v)_(0) = (v_0)/(2) sqrt(3) hat(i) - v_(0)/(2) hat(j) . Find the number of turns that the particle will take to come out of the magnetic field.

A particle has initial velocity vec(v)=3hat(i)+4hat(j) and a constant force vec(F)=4hat(i)-3hat(j) acts on the particle. The path of the particle is :

A particle travels so that its acceleration is given by vec(a)=5 cos t hat(i)-3 sin t hat(j) . If the particle is located at (-3, 2) at time t=0 and is moving with a velocity given by (-3hat(i)+2hat(j)) . Find (i) The velocity [vec(v)=int vec(a).dt] at time t and (ii) The position vector [vec(r)=int vec(v).dt] of the particle at time t (t gt 0) .

A particle travels so that its acceleration is given by vec(a)=5 cos t hat(i)-3 sin t hat(j) . If the particle is located at (-3, 2) at time t=0 and is moving with a velocity given by (-3hat(i)+2hat(j)) . Find (i) The velocity [vec(v)=int vec(a).dt] at time t and (ii) The position vector [vec(r)=int vec(v).dt] of the particle at time t (t gt 0) .

A particle travels so that its acceleration is given by vec(a)=5 cos t hat(i)-3 sin t hat(j) . If the particle is located at (-3, 2) at time t=0 and is moving with a velocity given by (-3hat(i)+2hat(j)) . Find (i) The velocity [vec(v)=int vec(a).dt] at time t and (ii) The position vector [vec(r)=int vec(v).dt] of the particle at time t (t gt 0) .